Question

a certain drug is used to treat asthma. in a clinical trial of the drug, 26 of 292 treated subjects experienced headaches (based on data from the manufacturer). the accompanying calculator display shows results from a test of the claim that less than 8% of treated subjects experienced headaches. use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below. 1 - propztest prop < 0.08 z = 0.569473526 p = 0.7154826085 p = 0.0890410959 n = 292 d. reject the null hypothesis because the p - value is less than or equal to the significance level, α. e. what is the final conclusion? a. there is sufficient evidence to support the claim that less than 8% of treated subjects experienced headaches. b. there is not sufficient evidence to support the claim that less than 8% of treated subjects experienced headaches. c. there is not sufficient evidence to warrant rejection of the claim that less than 8% of treated subjects experienced headaches. d. there is sufficient evidence to warrant rejection of the claim that less than 8% of treated subjects experienced headaches.

Explanation:

In hypothesis testing, if the P - value ($p = 0.7154826085$) is greater than the significance level ($\alpha=0.05$), we fail to reject the null hypothesis. Failing to reject the null hypothesis means there is not enough evidence to support the alternative hypothesis (the claim that less than 8% of treated subjects experienced headaches).

Answer:

B. There is not sufficient evidence to support the claim that less than 8% of treated subjects experienced headaches.